Agricultural Engineering Gate Yearwise 



Agricultural Engineering Gate 2013 Questions with Answer

Ques 1 GATE 2013

If P = A×B , where

A

[7 2; 9 0]

B

[4 7 2; 3 9 0]

C

[2 4; 3 9]

D

[2 4 7; 0 3 9]


(b) is the correct answer.

Ques 2 GATE 2013

If C = A × B , where A = 2i - j + 3k and B = i + 2j ; then C is

A

-6i + 3j + 5k

B

6i + 3j – 5k

C

-6i + 2j + 3k

D

6i + 2j + 5k


(d) is the correct answer.

Ques 3 GATE 2013

The general solution of the differential equation d²y/dx² - 3 dy/dx - 4y = 0 is

A

Ae^{4x} + Be^{-x}

B

Ae^{x} + Be^{-4x}

C

Ae^{4x} + Be^{x}

D

Ae^{-4x} + Be^{-x}


(a) is the correct answer.

Ques 4 GATE 2013

Eigenvalues of the matrix [2 1; 3 2] are

A

±2i

B

±√3 2i

C

±√3 i

D

±√3


(d) is the correct answer.

Ques 5 GATE 2013

Poisson distribution having a mean of 5 will have √5 as

A

median

B

mode

C

standard deviation

D

variance


(c) is the correct answer.

Ques 6 GATE 2013

f(x) = e^{-x^2} for x = 1.1, 1.2, 1.3, 1.4 and 1.5, the value of ∫_{1.1}^{1.5} f(x) dx by Simpson’s 1/3rd rule is ______


(0.16) is the correct answer.

Ques 7 GATE 2013

Box 1 contains 15 balls out of which 3 are red. Box 2 contains 12 balls out of which 4 are red. If one ball is drawn at random from each box simultaneously, the probability of getting at least one red ball is

A

0.07

B

0.47

C

0.53

D

0.75


(b) is the correct answer.

Ques 8 GATE 2013

A hemispherical vessel of 300 mm diameter is completely filled with oil and water. If the oil layer is 50 mm deep on the top, the volume of water in the vessel in litres is

A

1.27

B

3.73

C

7.07

D

14.14


(d) is the correct answer.

Ques 9 GATE 2013

During a test, sound level was measured as 90 dB in the operator’s cabin on a tractor. Taking reference sound pressure as 2×10^{-5} N m^{-2}, the measured RMS sound pressure in N m^{-2} is

A

6.32

B

6.32×10^{-1}

C

1.8×10^{-3}

D

6.32×10^{-10}


(b) is the correct answer.

Ques 10 GATE 2013

During the testing of a spike-tooth type thresher for wheat crop, the throughput and the thresher capacity were found to be 750 kg h^{-1} and 445 kg h^{-1}, respectively. The grain-straw ratio (grain : straw) of the crop is 1.5 : 1. Material other than grain (MOG) collected at the main grain outlet is 0.5%. The total grain loss in percentage from all the sources will be

A

0.33

B

0.50

C

1.11

D

1.61


(c) is the correct answer.

Ques 11 GATE 2013

The rear furrow wheel in a tractor mounted disc plough is provided to

A

reduce the frictional power loss

B

maintain the uniform depth of cut

C

reduce the side draft

D

improve the penetration of the plough


(c) is the correct answer.

Ques 12 GATE 2013

The cumulative discharge of a tractor mounted hydraulic sprayer having 7 nozzles is 2.0 L min^{-1} when the tractor is operated at 4 km h^{-1}. If the nozzle spacing is 0.3 m, the discharge in L ha^{-1} is

A

1000.02

B

285.72

C

166.67

D

142.86


(d) is the correct answer.

Ques 13 GATE 2013

A tractor operated single acting trailing type disc harrow has 8 discs on each gang. The gang angle of both the gangs is maintained at 35°. The horizontal component of resultant soil reaction force on each disc is 600 N and it makes an angle of 30° with the gang axis. If the speed of operation is 6 km h^{-1}, the required drawbar power in kW to operate the harrow will be _______________


(10.08) is the correct answer.

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